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Registration |
Joseph M. Francos: A Universal and Exact Linear Framework for Estimation, Registration and Recognition of Deformable Objects |
| We consider the problem of estimating the geometric
deformation of an object, with respect to some reference observation
on it. Existing solutions, set in the standard coordinate system
imposed by the measurement system, lead to high-dimensional,
non-convex optimization problems. We propose a novel framework that
employs a set of non-linear functionals to replace this originally
high dimensional problem by an equivalent problem that is linear in the unknown transformation parameters. The proposed solution is unique and exact and is applicable to any elastic or affine transformation regardless of its magnitude. By analyzing the stochastic properties of the proposed non-linear functionals in the presence of various error sources, optimal estimators of the deformation models are derived. 
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